"Reasonable cause" to deny publication?

First-year EdD student in the US – like probably everyone in such a program, the research I want to do would involve working with nearby school districts. The closest district has a formal application to conduct a research study that asks this:

"Will [district] staff members be able to review the study findings prior to publication and deny publication with reasonable cause?"

There's also this (in bold) above the space for the applicant's signature:

"Once all data has been collected and analysis complete, I agree to sharing the findings/results with [district] prior to publication of the information."

Is this typical/has anyone encountered such a requirement before? Setting aside a government agency's desire to tell private citizens what they can and can't publish – which seems to be the entire reason we have the First Amendment – "reasonable cause" seems vague enough to give them nearly unlimited power over what I can and can't do with my own research.

Normally I'd just skip this district and move on, but it's the only district within a two-hour drive that isn't like 90 percent white – I want a representative sample. I also feel like they'll just reject any application that says "No" or otherwise pushes back on this. I'm more than happy to share my findings (which will include multiple districts, none of which will be identified), but what I do with them is up to me and my advisor, not the school system.